SSC CPO 2024 PYQ — Question 142

The correct answer is option 1 i.e. 12.5%.

Let the cost price of 50g article be 100.

SP = CP × ${100 - L}\over 100$

SP of 50 g article = 100  × ${100 - 10}\over 100$ = 90

But the dealer uses 40g instead of 50 g,

SP of 40 g article = 90

Now, CP of 40g article = ${100 \over 50} \times 40$ = 80

Profit = SP - CP 

⇒ 90 - 80 = 10

Profit percentage = ${P \over CP} \times 100$

⇒ ${10 \over 80} \times 100$ = 12.5%

Hence the percentage of profit is 12.5%.